11197236960 has 864 divisors, whose sum is σ = 49523050080. Its totient is φ = 2354946048.

The previous prime is 11197236929. The next prime is 11197236961. The reversal of 11197236960 is 6963279111.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11197236961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35773764 + ... + 35774076.

It is an arithmetic number, because the mean of its divisors is an integer number (57318345).

Almost surely, 2^11197236960 is an apocalyptic number.

11197236960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11197236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24761525040).

11197236960 is an abundant number, since it is smaller than the sum of its proper divisors (38325813120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11197236960 is a wasteful number, since it uses less digits than its factorization.

11197236960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 11197236960 in words is "eleven billion, one hundred ninety-seven million, two hundred thirty-six thousand, nine hundred sixty".